=== FILE DESCRIPTION ===
This file contains the 120 sequences and descriptions of the sequences used in the evaluation's first 120 questions in samples.jsonl. All 120 evaluation questions using these sequences are also stored separately in the 'notable-sequences.jsonl' file. The sequences are listed here in the same order as their corresponding evaluation question.


=== SEQUENCES DESCRIPTION ===
The sequences used in this portion of the evaluation are notable, well-known integer sequences (e.g., Fibonacci sequence, sequence of primes, etc.). These are most likely to have been included in the model's training data. They cover several categories of sequences: general, prime number types, base-dependent, and figurative numbers.

For more information about the sequences herein, visit the On-Line Encyclopedia of Integer Sequences (OEIS) at www.oeis.org.


=== SEQUENCES ==
A000002 [Kolakoski sequence]
{1, 2, 2, 1, 1, 2, 1, 2, 2, 1, ...}

A000010 [Euler's totient function φ(n)]
{1, 1, 2, 2, 4, 2, 6, 4, 6, 4, ...}

A000032 [Lucas numbers L(n)]
{2, 1, 3, 4, 7, 11, 18, 29, 47, 76, ...}

A000040 [Prime numbers pn]
{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ...}

A000041 [Partition numbers Pn]
{1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, ...}

A000045 [Fibonacci numbers F(n)]
{0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...}

A000058 [Sylvester's sequence]
{2, 3, 7, 43, 1807, 3263443, 10650056950807, 113423713055421844361000443, ...}

A000073 [Tribonacci numbers]
{0, 1, 1, 2, 4, 7, 13, 24, 44, 81, ...}

A000079 [Powers of 2]
{1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, ...}

A000105 [Polyominoes]
{1, 1, 1, 2, 5, 12, 35, 108, 369, ...}

A000108 [Catalan numbers Cn]
{1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, ...}

A000110 [Bell numbers Bn]
{1, 1, 2, 5, 15, 52, 203, 877, 4140, 21147, ...}

A000111 [Euler zigzag numbers En]
{1, 1, 1, 2, 5, 16, 61, 272, 1385, 7936, ...}

A000124 [Lazy caterer's sequence]
{1, 2, 4, 7, 11, 16, 22, 29, 37, 46, ...}

A000129 [Pell numbers Pn]
{0, 1, 2, 5, 12, 29, 70, 169, 408, 985, ...}

A000142 [Factorials n!]
{1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, ...}

A000166 [Derangements]
{1, 0, 1, 2, 9, 44, 265, 1854, 14833, 133496, 1334961, 14684570, 176214841, ...}

A000203 [Divisor function σ(n)]
{1, 3, 4, 7, 6, 12, 8, 15, 13, 18, 12, 28, ...}

A000215 [Fermat numbers Fn]
{3, 5, 17, 257, 65537, 4294967297, 18446744073709551617, 340282366920938463463374607431768211457, ...}

A000238 [Polytrees]
{1, 1, 3, 8, 27, 91, 350, 1376, 5743, 24635, 108968, ...}

A000396 [Perfect numbers]
{6, 28, 496, 8128, 33550336, 8589869056, 137438691328, 2305843008139952128, ...}

A000594 [Ramanujan tau function]
{1,−24,252,−1472,4830,−6048,−16744,84480,−113643...}

A000793 [Landau's function]
{1, 1, 2, 3, 4, 6, 6, 12, 15, 20, ...}

A000930 [Narayana's cows]
{1, 1, 1, 2, 3, 4, 6, 9, 13, 19, ...}

A000931 [Padovan sequence]
{1, 1, 1, 2, 2, 3, 4, 5, 7, 9, ...}

A000945 [Euclid–Mullin sequence]
{2, 3, 7, 43, 13, 53, 5, 6221671, 38709183810571, 139, ...}

A000959 [Lucky numbers]
{1, 3, 7, 9, 13, 15, 21, 25, 31, 33, ...}

A000961 [Prime powers]
{2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19, ...}

A000984 [Central binomial coefficients]
{1, 2, 6, 20, 70, 252, 924, ...}

A001006 [Motzkin numbers]
{1, 1, 2, 4, 9, 21, 51, 127, 323, 835, ...}

A001013 [Jordan–Pólya numbers]
{1, 2, 4, 6, 8, 12, 16, 24, 32, 36, 48, 64. ...}

A001045 [Jacobsthal numbers]
{0, 1, 1, 3, 5, 11, 21, 43, 85, 171, 341, ...}

A001065 [Sum of proper divisors s(n)]
{0, 1, 1, 3, 1, 6, 1, 7, 4, 8, ...}

A001190 [Wedderburn–Etherington numbers]
{0, 1, 1, 1, 2, 3, 6, 11, 23, 46, ...}

A001316 [Gould's sequence]
{1, 2, 2, 4, 2, 4, 4, 8, 2, 4, 4, 8, 4, 8, 8, ...}

A001358 [Semiprimes]
{4, 6, 9, 10, 14, 15, 21, 22, 25, 26, ...}

A001462 [Golomb sequence]
{1, 2, 2, 3, 3, 4, 4, 4, 5, 5, ...}

A001608 [Perrin numbers Pn]
{3, 0, 2, 3, 2, 5, 5, 7, 10, 12, ...}

A001855 [Sorting number]
{0, 1, 3, 5, 8, 11, 14, 17, 21, 25, 29, 33, 37, 41, 45, 49 ...}

A002064 [Cullen numbers Cn]
{1, 3, 9, 25, 65, 161, 385, 897, 2049, 4609, 10241, 22529, 49153, 106497, ...}

A002110 [Primorials pn#]
{1, 2, 6, 30, 210, 2310, 30030, 510510, 9699690, 223092870, ...}

A002182 [Highly composite numbers]
{1, 2, 4, 6, 12, 24, 36, 48, 60, 120, ...}

A002201 [Superior highly composite numbers]
{2, 6, 12, 60, 120, 360, 2520, 5040, 55440, 720720, ...}

A002378 [Pronic numbers]
{0, 2, 6, 12, 20, 30, 42, 56, 72, 90, ...}

A002559 [Markov numbers]
{1, 2, 5, 13, 29, 34, 89, 169, 194, ...}

A002808 [Composite numbers]
{4, 6, 8, 9, 10, 12, 14, 15, 16, 18, ...}

A002858 [Ulam number]
{1, 2, 3, 4, 6, 8, 11, 13, 16, 18, ...}

A002863 [Prime knots]
{0, 0, 1, 1, 2, 3, 7, 21, 49, 165, 552, 2176, 9988, ...}

A002997 [Carmichael numbers]
{561, 1105, 1729, 2465, 2821, 6601, 8911, 10585, 15841, 29341, ...}

A003261 [Woodall numbers]
{1, 7, 23, 63, 159, 383, 895, 2047, 4607, ...}

A003601 [Arithmetic numbers]
{1, 3, 5, 6, 7, 11, 13, 14, 15, 17, 19, 20, 21, 22, 23, 27, ...}

A004490 [Colossally abundant numbers]
{2, 6, 12, 60, 120, 360, 2520, 5040, 55440, 720720, ...}

A005044 [Alcuin's sequence]
{0, 0, 0, 1, 0, 1, 1, 2, 1, 3, 2, 4, 3, 5, 4, 7, 5, 8, 7, 10, 8, 12, 10, 14, ...}

A005100 [Deficient numbers]
{1, 2, 3, 4, 5, 7, 8, 9, 10, 11, ...}

A005101 [Abundant numbers]
{12, 18, 20, 24, 30, 36, 40, 42, 48, 54, ...}

A005114 [Untouchable numbers]
{2, 5, 52, 88, 96, 120, 124, 146, 162, 188, ...}

A005132 [Recamán's sequence]
{0, 1, 3, 6, 2, 7, 13, 20, 12, 21, 11, 22, 10, 23, 9, 24, 8, 25, 43, 62, ...}

A005150 [Look-and-say sequence]
{1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, 31131211131221, 13211311123113112211, ...}

A005153 [Practical numbers]
{1, 2, 4, 6, 8, 12, 16, 18, 20, 24, 28, 30, 32, 36, 40...}

A005165 [Alternating factorial]
{1, 1, 5, 19, 101, 619, 4421, 35899, 326981, 3301819, 36614981, 442386619, 5784634181, 81393657019, ...}

A005235 [Fortunate numbers]
{3, 5, 7, 13, 23, 17, 19, 23, 37, 61, ...}

A005835 [Semiperfect numbers]
{6, 12, 18, 20, 24, 28, 30, 36, 40, 42, ...}

A006003 [Magic constants]
{15, 34, 65, 111, 175, 260, 369, 505, 671, 870, 1105, 1379, 1695, 2056, ...}

A006037 [Weird numbers]
{70, 836, 4030, 5830, 7192, 7912, 9272, 10430, 10570, 10792, ...}

A006842 [Farey sequence numerators]
{0, 1, 0, 1, 1, 0, 1, 1, 2, 1, ...}

A006843 [Farey sequence denominators]
{1, 1, 1, 2, 1, 1, 3, 2, 3, 1, ...}

A006862 [Euclid numbers]
{2, 3, 7, 31, 211, 2311, 30031, 510511, 9699691, 223092871, ...}

A006886 [Kaprekar numbers]
{1, 9, 45, 55, 99, 297, 703, 999, 2223, 2728, ...}

A007304 [Sphenic numbers]
{30, 42, 66, 70, 78, 102, 105, 110, 114, 130, ...}

A007850 [Giuga number]
{30, 858, 1722, 66198, 2214408306, ...}

A007947 [Radical of an integer]
{1, 2, 3, 2, 5, 6, 7, 2, 3, 10, ...}

A010060 [Thue–Morse sequence]
{0, 1, 1, 0, 1, 0, 0, 1, 1, 0, ...}

A014577 [Regular paperfolding sequence]
{1, 1, 0, 1, 1, 0, 0, 1, 1, 1, ...}

A016105 [Blum integers]
{21, 33, 57, 69, 77, 93, 129, 133, 141, 161, 177, ...}

A018226 [Magic numbers]
{2, 8, 20, 28, 50, 82, 126, ...}

A019279 [Superperfect numbers]
{2, 4, 16, 64, 4096, 65536, 262144, 1073741824, 1152921504606846976, 309485009821345068724781056, ...}

A027641 [Bernoulli numbers Bn]
{1, −1, 1, 0, −1, 0, 1, 0, −1, 0, 5, 0, −691, 0, 7, 0, −3617, 0, 43867, 0, ...}

A034897 [Hyperperfect numbers]
{6, 21, 28, 301, 325, 496, 697, ...}

A052486 [Achilles numbers]
{72, 108, 200, 288, 392, 432, 500, 648, 675, 800, ...}

A054377 [Primary pseudoperfect numbers]
{2, 6, 42, 1806, 47058, 2214502422, 52495396602, ...}

A059756 [Erdős–Woods numbers]
{16, 22, 34, 36, 46, 56, 64, 66, 70, 76, 78, 86, 88, ...}

A076336 [Sierpinski numbers]
{78557, 271129, 271577, 322523, 327739, 482719, 575041, 603713, 903983, 934909, ...}

A076337 [Riesel numbers]
{509203, 762701, 777149, 790841, 992077, ...}

A086747 [Baum–Sweet sequence]
{1, 1, 0, 1, 1, 0, 0, 1, 0, 1, ...}

A090822 [Gijswijt's sequence]
{1, 1, 2, 1, 1, 2, 2, 2, 3, 1, ...}

A093112 [Carol numbers]
{−1, 7, 47, 223, 959, 3967, 16127, 65023, 261119, 1046527, ...}

A094683 [Juggler sequence]
{0, 1, 1, 5, 2, 11, 2, 18, 2, 27, ...}

A097942 [Highly totient numbers]
{1, 2, 4, 8, 12, 24, 48, 72, 144, 240, ...}

A122045 [Euler numbers]
{1, 0, −1, 0, 5, 0, −61, 0, 1385, 0, ...}

A138591 [Polite numbers]
{3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, ...}

A194472 [Erdős–Nicolas numbers]
{24, 2016, 8190, 42336, 45864, 392448, 714240, 1571328, ...}

A337663 [Solution to Stepping Stone Puzzle]
{1, 16, 28, 38, 49, 60, ...}

A000027 [Natural numbers]
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...}

A000217 [Triangular numbers t(n)]
{0, 1, 3, 6, 10, 15, 21, 28, 36, 45, ...}

A000290 [Square numbers n2]
{0, 1, 4, 9, 16, 25, 36, 49, 64, 81, ...}

A000292 [Tetrahedral numbers T(n)]
{0, 1, 4, 10, 20, 35, 56, 84, 120, 165, ...}

A000330 [Square pyramidal numbers]
{0, 1, 5, 14, 30, 55, 91, 140, 204, 285, ...}

A000578 [Cube numbers n3]
{0, 1, 8, 27, 64, 125, 216, 343, 512, 729, ...}

A000584 [Fifth powers]
{0, 1, 32, 243, 1024, 3125, 7776, 16807, 32768, 59049, 100000, ...}

A003154 [Star numbers]
{1, 13, 37, 73, 121, 181, 253, 337, 433, 541, 661, 793, 937, ...}

A007588 [Stella octangula numbers]
{0, 1, 14, 51, 124, 245, 426, 679, 1016, 1449, 1990, 2651, 3444, 4381, ...}

A000043 [Mersenne prime exponents]
{2, 3, 5, 7, 13, 17, 19, 31, 61, 89, ...}

A000668 [Mersenne primes]
{3, 7, 31, 127, 8191, 131071, 524287, 2147483647, 2305843009213693951, 618970019642690137449562111, ...}

A000979 [Wagstaff primes]
{3, 11, 43, 683, 2731, 43691, ...}

A005384 [Sophie Germain primes]
{2, 3, 5, 11, 23, 29, 41, 53, 83, 89, ...}

A007770 [Happy numbers]
{1, 7, 10, 13, 19, 23, 28, 31, 32, 44, ...}

A088054 [Factorial primes]
{2, 3, 5, 7, 23, 719, 5039, 39916801, ...}

A104272 [Ramanujan primes]
{2, 11, 17, 29, 41, 47, 59, 67, ...}

A005224 [Aronson's sequence]
{1, 4, 11, 16, 24, 29, 33, 35, 39, 45, ...}

A002113 [Palindromic numbers]
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, ...}

A003459 [Permutable primes]
{2, 3, 5, 7, 11, 13, 17, 31, 37, 71, ...}

A005349 [Harshad numbers in base 10]
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, ...}

A014080 [Factorions]
{1, 2, 145, 40585, ...}

A016114 [Circular primes]
{2, 3, 5, 7, 11, 13, 17, 37, 79, 113, ...}

A037274 [Home prime]
{1, 2, 3, 211, 5, 23, 7, 3331113965338635107, 311, 773, ...}

A046075 [Undulating numbers]
{101, 121, 131, 141, 151, 161, 171, 181, 191, 202, ...}

A046758 [Equidigital numbers]
{1, 2, 3, 5, 7, 10, 11, 13, 14, 15, 16, 17, 19, 21, 23, 25, 27, 29, 31, 32, 35, 37, 41, 43, 47, 49, 53, 59, 61, 64, ...}

A046760 [Extravagant numbers]
{4, 6, 8, 9, 12, 18, 20, 22, 24, 26, 28, 30, 33, 34, 36, 38, ...}

A050278 [Pandigital numbers]
{1023456789, 1023456798, 1023456879, 1023456897, 1023456978, 1023456987, 1023457689, 1023457698, 1023457869, 1023457896, ...}

A014824 [Schizophrenic numbers; (0) = 0; for n>0, a(n) = 10*a(n-1) + n.]
{0, 1, 12, 123, 1234, 12345, 123456, 1234567, 12345678, 123456789, 1234567900, ...}